460491360 has 192 divisors, whose sum is σ = 1711632384. Its totient is φ = 101836800.

The previous prime is 460491323. The next prime is 460491397. The reversal of 460491360 is 63194064.

460491360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (460491323) and next prime (460491397).

It is a super-3 number, since 3×460491360³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101950 + ... + 106370.

It is an arithmetic number, because the mean of its divisors is an integer number (8914752).

Almost surely, 2^460491360 is an apocalyptic number.

460491360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855816192).

460491360 is an abundant number, since it is smaller than the sum of its proper divisors (1251141024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460491360 is a wasteful number, since it uses less digits than its factorization.

460491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 460491360 is about 21459.0624212709. The cubic root of 460491360 is about 772.2190220372.

The spelling of 460491360 in words is "four hundred sixty million, four hundred ninety-one thousand, three hundred sixty".